Question

Find the missing value when given the modulus. |48+bi|=50

Answer 1

Answer:

missing value b is 14

Step-by-step explanation:

We have been given the modulus of a complex number which is

$r=\sqrt{a^2+b^2}$

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

$\sqrt{48^2+b^2}=50$

$\Rightarrow 2304+b^2=50^2$

$\Rightarrow b^2=2500-2304$

$\Rightarrow b^2=196$

$\Rightarrow b=\sqrt{196}$

$\Rightarrow b=14$

Therefore, missing value b is 14